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Finding the Fourth Proportional to 2,668.64, 3,998.16 and 1,628.10

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Solution

The fourth proportional to 2,668.64, 3,998.16 and 1,628.10 is: 2,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.64 : 3,998.16 = 1,628.10 : x
  2. Step 2: Convert to fraction form
    2,668.64/3,998.16 = 1,628.10/x
  3. Step 3: Cross multiply
    2,668.64x = 3,998.16 × 1,628.10
  4. Step 4: Simplify right side
    2,668.64x = 6,509,404.30
  5. Step 5: Solve for x
    x = 6,509,404.30/2,668.64
  6. Step 6: Final answer
    x = 2,439.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.